The GCF is 8xy.
9xy2 - 24xy + 15x
(4x + 3y)(4x + 3y) or (4x + 3y)2
LCM(12x, 8y) = 24xy.
You need at least two terms to find a GCF.
The GCF is 8xy.
9xy2 - 24xy + 15x
16xy = (2)(2)(2)(2)(x)(y)24xy = (2)(2)(2)(3)(x)(y)(2)(2)(2)(x)(y) = 8xy
The LCM is: 24xy
(4x + 3y)(4x + 3y) or (4x + 3y)2
LCM(12x, 8y) = 24xy.
8x
The GCF is 24xy^2
You need at least two terms to find a GCF.
To find the least common multiple (LCM) of 8x and 18xy, we need to identify the highest power of each prime factor that appears in either number. The prime factors of 8x are 2 and x, while the prime factors of 18xy are 2, 3, x, and y. The LCM is the product of the highest power of each prime factor: 2^3 * 3^1 * x^1 * y^1 = 24xy. Therefore, the LCM for 8x and 18xy is 24xy.
8(x^2)(yz)(16x)(y^2)(z^2)-24xy(z^2). Combine like terms: 128(x^3)(y^3)(z^3)-24xy(z^2). Now, find the common factors and move them to the left. They both share 8xy(z^2), so, we can combine make the expression look like this: 8xy(z^2)[16z(x^2)(y^2)-3]. This is factored completely.
The degree of a polynomial function is the highest power any single term is raised to. For example, (5a - 2b^2) is a second degree function because the "b^2" is raised to the second power and the "a" is only raised to the (implied) first power. For (24xy-xy^3 + x^2) it is a third degree polynomial because the highest power is the cube of -xy.